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Finding the Third Proportional to 271,710.38 and 595,908.75

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Solution

The third proportional to 271,710.38 and 595,908.75 is: 1,306,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,710.38 : 595,908.75 = 595,908.75 : x
  2. Step 2: Convert to fraction form
    271,710.38/595,908.75 = 595,908.75/x
  3. Step 3: Cross multiply
    271,710.38x = 595,908.75 × 595,908.75
  4. Step 4: Simplify right side
    271,710.38x = 355,107,238,326.56
  5. Step 5: Solve for x
    x = 355,107,238,326.56/271,710.38
  6. Step 6: Final answer
    x = 1,306,932.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.